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Finding the Fourth Proportional to 2,167.92, 3,248.82 and 1,242.08

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Solution

The fourth proportional to 2,167.92, 3,248.82 and 1,242.08 is: 1,861.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.92 : 3,248.82 = 1,242.08 : x
  2. Step 2: Convert to fraction form
    2,167.92/3,248.82 = 1,242.08/x
  3. Step 3: Cross multiply
    2,167.92x = 3,248.82 × 1,242.08
  4. Step 4: Simplify right side
    2,167.92x = 4,035,294.35
  5. Step 5: Solve for x
    x = 4,035,294.35/2,167.92
  6. Step 6: Final answer
    x = 1,861.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.